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Finding the Fourth Proportional to 756,339, 1,043,747.82 and 416,807.25

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Solution

The fourth proportional to 756,339, 1,043,747.82 and 416,807.25 is: 575,194.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,339 : 1,043,747.82 = 416,807.25 : x
  2. Step 2: Convert to fraction form
    756,339/1,043,747.82 = 416,807.25/x
  3. Step 3: Cross multiply
    756,339x = 1,043,747.82 × 416,807.25
  4. Step 4: Simplify right side
    756,339x = 435,041,658,547.70
  5. Step 5: Solve for x
    x = 435,041,658,547.70/756,339
  6. Step 6: Final answer
    x = 575,194.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.